The average amount of money spent for lunch per person in the college cafeteria is $7.46 and the standarddeviation is $2.37. Suppose that 50 randomly selected lunch patrons are observed. Assume the distributionof money spent is normal, and round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N 7.46b. What is the distribution of ? N(7.46✓7.4607.46c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost isbetween $7.6472 and $8.0948.d. For the group of 50 patrons, find the probability that the average lunch cost is between $7.6472 and$8.0948.e. For part d), is the assumption that the distribution is normal necessary? O No Yes2.37X

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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On average, indoor cats live to 14 years old with a standard deviation of 2.7 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.A. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
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Which of the following is True about the Z-score of an observation? A. The Z-score of an observation is defined as the number of standard deviations from the mean. B. If the observation is twice as large as the mean, its Z-score is 1. C. The Z-score of an observation is a number between 0 and 1. D. If the observation is right at the mean, its Z-score is 1.
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Find the indicated IQ score. The graph to the right depicts IQ scores standard deviation of 15. of adults, and those scores are normally distributed with a mean of 100 and a Click to view page 1 of the table. Click to view page 2 of the table. 0.7 The indicated IQ score, (Round to one decimal place as needed.) is X, nter ucces ? ia Lib Enter your answer in the answer box and then click Check Answer Check Answer Clear All 4:17 PM All parts showing 12/2/201 Optio N pe here to search insert 61 44 f8 |+ 7 16 4 7
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